He graduated from Pärnu 1st Secondary School in 1971, and in 1976 from the Faculty of Law of the University of Tartu.
After he graduated and until 1990, he worked at the Tartu City RSN Executive Committee.
During the Estonian Supreme Soviet election in 1990, Anton turned was elected as a member of the 1990s incarnation of the Vaba Eesti party and a citizens' initiative to nominate a candidate.
In the Supreme Council, he represented the Popular Front of Estonia and the Social Democratic Party (until June 1991) and became chair of the Legal Affairs Committee.
The current Chancellor of Justice of Estonia, Ülle Madise, is his daughter.